Limits At Infinity Math Worksheet 1.3 Page 2

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Calculus Maximus
WS 1.3: Limits at Infinity
Multiple Choice
( )
=
xsin x
_____ 7.
lim
x®¥
-1
(A) 1
(B) 0
(C)
7
(D) DNE
(E)
-2 9x
+ 2x
+ 5
10
8
=
_____ 8. lim
-12x
+ 4x
- 2x
-1
5
3
2
x®-¥
1
1
1
1
(B) -
(E) -
(A) 0
(C)
(D)
6
6
2
2
+ 4 - 7x - 5x
3
4
2x
=
_____ 9. lim
+ x
+ 2x - 5
3
2
x®-¥
x
¥
-2
(A)
(B)
(C) 1
(D)
(E) 2
4 - x
2
=
_____ 10. lim
- 1
x
2
x®¥
¥
-1
-4
(A) 1
(B)
(C) 0
(D)
(E)
+ 27
3
5x
=
_____ 11. lim
+10x + 9
2
x®-¥
20x
¥
-1
(A)
(B)
(C) 3
(D)
(E) 0
+ 27
2
3x
=
_____ 12. lim
- 27
3
x
x®¥
-1
(A)
(B) 1
(C) 0
(D)
(E) 3
- x
2
=
_____ 13. lim
x
x®¥
3
2
¥
(A)
(B) 1
(C) 0
(D)
(E)
3
- x
5 + e
=
_____ 14. lim
- x
1- e
x®¥
¥
-5
-1
(A)
(B) 5
(C)
(D)
(E)
- x
5 + e
=
______ 15. lim
- x
1- e
x®-¥
-5
¥
-1
(A)
(B) 5
(C)
(D)
(E)
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